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Volumn 14, Issue 2, 1998, Pages 215-310

Differential equations driven by rough signals

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EID: 0032347402     PISSN: 02132230     EISSN: 22350616     Source Type: Journal    
DOI: 10.4171/RMI/240     Document Type: Article
Times cited : (951)

References (32)
  • 1
    • 0002622087 scopus 로고
    • Variation of iterated brownian motion
    • Workshop and Conference on Measure-valued Processes, Stochastic Partial Differential equations and Interacting Systems
    • Burdzy, K., Variation of iterated Brownian motion. In: Workshop and Conference on Measure-valued Processes, Stochastic Partial Differential equations and Interacting Systems, (CRM Proceedings and Lecture Notes, 1993).
    • (1993) CRM Proceedings and Lecture Notes
    • Burdzy, K.1
  • 2
    • 0003603990 scopus 로고
    • Reprint of the 1912 original: Les Grands Classiques Gauthier-Villars, 1992, Editions Jacques Gabay, Sceaux
    • Bachelier, L., Calcul des probabilités. Reprint of the 1912 original: Les Grands Classiques Gauthier-Villars, 1992, Editions Jacques Gabay, Sceaux, 1992.
    • (1992) Calcul des Probabilités
    • Bachelier, L.1
  • 3
    • 0002790129 scopus 로고
    • Flots et séries de taylor stochastique
    • Ben Arous, G., Flots et Séries de Taylor Stochastique. Probab. Theor. Relat. Fields 81 (1989), 29-77.
    • (1989) Probab. Theor. Relat. Fields , vol.81 , pp. 29-77
    • Ben Arous, G.1
  • 4
    • 21344466895 scopus 로고    scopus 로고
    • The ordinary differential equation approach to asymptotically efficient schemes for solution of stochastic differential equations
    • Castell, F., Gaines, J. G., The ordinary differential equation approach to asymptotically efficient schemes for solution of stochastic differential equations. Ann. Inst. H. Poincaré 32 (1996), 231-250.
    • (1996) Ann. Inst. H. Poincaré , vol.32 , pp. 231-250
    • Castell, F.1    Gaines, J.G.2
  • 5
    • 0000343343 scopus 로고
    • Integration of paths, geometric invariants and a generalized Baker-Hausdorff formula
    • Chen, K.-T., Integration of Paths, Geometric Invariants and a Generalized Baker-Hausdorff Formula. Ann. of Math. 65 (1957), 163-178.
    • (1957) Ann. of Math. , vol.65 , pp. 163-178
    • Chen, K.-T.1
  • 6
    • 0000496512 scopus 로고
    • Calcul d'itô sans probabilités
    • Seminar on Probability, XV. Springer
    • Föllmer, H., Calcul d'Itô sans probabilités. Seminar on Probability, XV. Lecture Notes in Math. 850, 143-150, Springer, 1981.
    • (1981) Lecture Notes in Math. , vol.850 , pp. 143-150
    • Föllmer, H.1
  • 7
    • 0040533994 scopus 로고
    • Dirichlet processes, stochastic integrals
    • Proceedings of the LMS Durham Symposium held at the University of Durham, Durham, July 7-17, Edited by David Williams. Springer
    • Föllmer, H., Dirichlet processes, Stochastic integrals. Proceedings of the LMS Durham Symposium held at the University of Durham, Durham, July 7-17, 1980. Edited by David Williams. Lecture Notes in Math. 851 476-478, Springer, 1981.
    • (1980) Lecture Notes in Math. , vol.851 , pp. 476-478
    • Föllmer, H.1
  • 8
    • 0031258411 scopus 로고    scopus 로고
    • Variable step size control in the numerical solution of stochastic differential equations
    • Gaines, J. G., Lyons, T. J., Variable Step Size Control in the Numerical Solution of Stochastic Differential Equations. SIAM J. Appl. Math. 51 (1997), 1455-1484.
    • (1997) SIAM J. Appl. Math. , vol.51 , pp. 1455-1484
    • Gaines, J.G.1    Lyons, T.J.2
  • 10
    • 0032341646 scopus 로고    scopus 로고
    • Stochastic area for Brownian motion on the Sierpinski gasket
    • Hambly, B. M., Lyons, T. J., Stochastic Area for Brownian motion on the Sierpinski gasket. Ann. Probab. 26 (1998), 132-148.
    • (1998) Ann. Probab. , vol.26 , pp. 132-148
    • Hambly, B.M.1    Lyons, T.J.2
  • 12
  • 14
    • 0039348870 scopus 로고
    • The interpretation and solution of ordinary differential equations driven by rough signals
    • Lyons, T. J., The Interpretation and Solution of Ordinary Differential Equations Driven by Rough Signals. Proceedings of Symposia in Pure Mathematics. 57 (1995).
    • (1995) Proceedings of Symposia in Pure Mathematics , vol.57
    • Lyons, T.J.1
  • 15
    • 0000144882 scopus 로고
    • Differential equations driven by rough signals (I): An extension of an inequality of L. C. Young
    • Lyons, T., Differential equations driven by rough signals (I): an extension of an inequality of L. C. Young. Mathematical Research Letters 1 (1994), 451-464.
    • (1994) Mathematical Research Letters , vol.1 , pp. 451-464
    • Lyons, T.1
  • 16
    • 0039348866 scopus 로고
    • On the nonexistence of path integrals
    • Lyons, T., On the nonexistence of path integrals. Proc. Roy. Soc. London Ser. A 432 (1991), 281-290.
    • (1991) Proc. Roy. Soc. London Ser. A , vol.432 , pp. 281-290
    • Lyons, T.1
  • 17
    • 0039941152 scopus 로고    scopus 로고
    • Calculus of variation for multiplicative functionals
    • World Scientific. Ed. Elworthy
    • Lyons, T. J., Qian, Z. M., Calculus of variation for multiplicative functionals. In: New Trends in Stochastic Analysis. World Scientific. Ed. Elworthy. (1997), 348-374.
    • (1997) New Trends in Stochastic Analysis , pp. 348-374
    • Lyons, T.J.1    Qian, Z.M.2
  • 18
    • 85157253076 scopus 로고    scopus 로고
    • Flow of diffeomorphisms induced by a geometric multiplicative functional
    • Lyons, T. J., Qian, Z. M., Flow of diffeomorphisms induced by a geometric multiplicative functional. To appear in Probab. Theor. Relat. Fields.
    • Probab. Theor. Relat. Fields
    • Lyons, T.J.1    Qian, Z.M.2
  • 19
    • 0039348869 scopus 로고    scopus 로고
    • Calculus for multiplicative functionals, Itô's formula, and differential equations
    • Ed. Ikeda. Springer
    • Lyons, T. J., Qian, Z. M., Calculus for multiplicative functionals, Itô's formula, and differential equations. In: Itô's Stochastic Calculus. Ed. Ikeda. Springer. (1996), 233-250.
    • (1996) Itô's Stochastic Calculus , pp. 233-250
    • Lyons, T.J.1    Qian, Z.M.2
  • 20
    • 0001894040 scopus 로고
    • Infinite-dimensional analysis
    • Malliavin, P., Infinite-dimensional analysis. Bull. Sci. Math. 117 (1993), 63-90.
    • (1993) Bull. Sci. Math. , vol.117 , pp. 63-90
    • Malliavin, P.1
  • 21
    • 0001346915 scopus 로고
    • On the existence, uniqueness, convergence and explosions of solutions of systems of stochastic differential equations
    • Protter, P., On the existence, uniqueness, convergence and explosions of solutions of systems of stochastic differential equations. Ann. Probab. 5 (1977), 243-261.
    • (1977) Ann. Probab. , vol.5 , pp. 243-261
    • Protter, P.1
  • 25
    • 0009425348 scopus 로고
    • Various topologies in the Wiener space and Lévy's stochastic area
    • Sugita, H., Various topologies in the Wiener space and Lévy's stochastic area. Probab. Theor. Relat. Fields 91 (1992), 283-296.
    • (1992) Probab. Theor. Relat. Fields , vol.91 , pp. 283-296
    • Sugita, H.1
  • 26
    • 0002124082 scopus 로고
    • Liens entre équations différentielles stochastiques et ordinaires
    • Doss, H., Liens entre équations différentielles stochastiques et ordinaires. Ann. Inst. H. Poincaré 13 (1977), 99-125.
    • (1977) Ann. Inst. H. Poincaré , vol.13 , pp. 99-125
    • Doss, H.1
  • 27
    • 0002801174 scopus 로고
    • On the gap between deterministic and stochastic ordinary differential equations
    • Sussmann, H. J., On the gap between deterministic and stochastic ordinary differential equations. Ann. Probab. 6 (1978), 19-41.
    • (1978) Ann. Probab. , vol.6 , pp. 19-41
    • Sussmann, H.J.1
  • 28
    • 0009596551 scopus 로고
    • On the representation of solutions of stochastic differential equations
    • Seminar on Probability, XIV. Springer
    • Kunita, H., On the representation of solutions of stochastic differential equations. Seminar on Probability, XIV. Lecture Notes in Math. 784, 282-304, Springer, 1980.
    • (1980) Lecture Notes in Math. , vol.784 , pp. 282-304
    • Kunita, H.1
  • 29
    • 0010821255 scopus 로고
    • Stochastic differential equations and nilpotent Lie algebras
    • Yamato, Y., Stochastic differential equations and nilpotent Lie Algebras, Z. Wahrscheinlichkeitstheorie und verw. Gebiete 47 (1979), 213-229.
    • (1979) Z. Wahrscheinlichkeitstheorie und Verw. Gebiete , vol.47 , pp. 213-229
    • Yamato, Y.1
  • 30
    • 0039941141 scopus 로고
    • Nonholonomic manifolds and nilpotent analysis
    • Gershkovich, V., Vershik, A., Nonholonomic manifolds and nilpotent analysis. J. Geom. Phys. 5 (1988), 407-452.
    • (1988) J. Geom. Phys. , vol.5 , pp. 407-452
    • Gershkovich, V.1    Vershik, A.2
  • 32
    • 0000821514 scopus 로고
    • An inequality of Hölder type, connected with Stieltjes integration
    • Young, L. C., An inequality of Hölder type, connected with Stieltjes integration. Acta Math. 67 (1936), 251-282.
    • (1936) Acta Math. , vol.67 , pp. 251-282
    • Young, L.C.1


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